Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
In this paper, we introduce a notion of multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Se...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Burgos (UBU) |
| Repositorio: | Repositorio Institucional de la Universidad de Burgos (RIUBU) |
| OAI Identifier: | oai:dnet:riubu_______::9cb7e2dd099918c2a55eccd2c395d6e2 |
| Acceso en línea: | https://hdl.handle.net/10259/11583 |
| Access Level: | acceso abierto |
| Palabra clave: | Unimodularity Multiplicative unimodularity Hamiltonian systems Invariant volume forms Coisotropic Poisson homogeneous spaces Geometría diferencial Sistemas de Hamilton Geometry, Differential |
| Sumario: | In this paper, we introduce a notion of multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented. |
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